On applications of the ray-shooting method for structured and structured-sparse static-output-feedbacks

摘要

A randomised optimisation method, called the ray-shooting method that efficiently solves the minimisation problem of continuous functions over compact non-convex unconnected regions, was introduced recently. Based on the ray-shooting method, an algorithm is suggested for solving the problems of structured and structured-sparse stabilising static-output-feedbacks. The algorithm presented here is a randomised algorithm, with a proof of convergence in probability. Its practical implementation has a good performance, in terms of quality of controllers, percent of success and run-time.